- #1
Lindsayyyy
- 219
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Hi everyone I hope I'm in the right board for this:
When it comes to alternate current, a complex description is pretty common as it's apperently easier to calculate with. But I don't understand alternate current to be honest. I have a problem with the basics, especially the following:
I can describe alternate current with sine, for example:
[tex] I(t)=I_{0}*sin(\omega t)[/tex]
where I_0 is the max amplitude.
but I can also write an alternate current like this:
[tex] I(t)=I_{0}*e^{i \omega t} [/tex]
i=imaginary unit
but with Euler's formula I can reqrite this to:
[tex] I(t)=I_{0}*[cos(\omega t)+i*sin(\omega t)][/tex]
What does the imaginary part tells me here? Both equations express an alternate current, but they are different (to me at least:) )
I'm pretty sure I have a wrong imagination of this stuff. Can someone explain it to me? I hope you get the point where my problems are.
Thanks for your help in advance
When it comes to alternate current, a complex description is pretty common as it's apperently easier to calculate with. But I don't understand alternate current to be honest. I have a problem with the basics, especially the following:
I can describe alternate current with sine, for example:
[tex] I(t)=I_{0}*sin(\omega t)[/tex]
where I_0 is the max amplitude.
but I can also write an alternate current like this:
[tex] I(t)=I_{0}*e^{i \omega t} [/tex]
i=imaginary unit
but with Euler's formula I can reqrite this to:
[tex] I(t)=I_{0}*[cos(\omega t)+i*sin(\omega t)][/tex]
What does the imaginary part tells me here? Both equations express an alternate current, but they are different (to me at least:) )
I'm pretty sure I have a wrong imagination of this stuff. Can someone explain it to me? I hope you get the point where my problems are.
Thanks for your help in advance